Notes
			Lecture 1		Mon 8/23	| Introduction. Vector spaces
			Lecture 2		Wed 8/25	| Subspaces
			Lecture 3		Mon 8/30	| Linear Combinations. Span of a Set
			Lecture 4		Wed 9/1	| Linear Dependence and Linear Independence
			Lecture 5		Wed 9/8	| Bases and Dimension
			Lecture 6		Mon 9/13	| Replacement Theorem
			Lecture 7		Wed 9/15	| Linear Transformations
			Lecture 8		Mon 9/20	| Matrix Representation of Linear Transformations
			Lecture 9		Wed 9/22	| Composition of Linear Transformations.
			Lecture 10		Mon 9/27	| Invertible Transformations. Isomorphisms. Rank of a Matrix
			Lecture 11		Wed 9/29	| Change of Bases.
			Lecture 12		Mon 10/4	| Review for Exam 1
					Wed 10/6	| Exam 1
			Lecture 13		Mon 10/11	| Eigenvalues and Eigenvectors
			Lecture 14		Wed 10/13	| Diagonalizability
			Lecture 15		Mon 10/18	| Diagonalizability (cont)
			Lecture 16		Wed 10/20	| Cayley - Hamilton Theorem
			Lecture 17		Mon 10/25	| Inner Product Spaces
			Lecture 18		Wed 10/27	| Gram-Schmidt Ortogonalization
			Lecture 19		Mon 11/1	| Gram-Schmidt (cont.) and Applications
			Lecture 20		Wed 11/3	| Orthogonal Complement. Orthogonal Projection
			Lecture 21		Mon 11/8	| Adjoint of a Linear Transformation
			Lecture 22		Wed 11/10	| Normal and Self Adjoint Operators
			Lecture 23		Mon 11/15	| Take Home Exam 2. Unitary and Orthogonal Operators
			Lecture 24		Wed 11/17	| Orthogonal Projections. Spectral Theorem
			Lecture 25		Mon 11/22	| Singular Value Decomposition
			Lecture 26		Mon 11/29	| Jordan Canonical Form
			Lecture 27		Wed 12/1	| Jordan Canonical Form (cont)
			Lecture 28		Mon 12/6	| Polar Decomposition and Jordan Canonical Form (cont)
			Lecture 29		Wed 12/8	| Similar Matrices and Minimal Polynomial